12x-7=(12/x)

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Solution for 12x-7=(12/x) equation: 


D( x )

x = 0

x = 0

x = 0

x in (-oo:0) U (0:+oo)

12*x-7 = 12/x // - 12/x

12*x-(12/x)-7 = 0

12*x-12*x^-1-7 = 0

12*x^1-12*x^-1-7*x^0 = 0

(12*x^2-7*x^1-12*x^0)/(x^1) = 0 // * x^2

x^1*(12*x^2-7*x^1-12*x^0) = 0

x^1

12*x^2-7*x-12 = 0

12*x^2-7*x-12 = 0

DELTA = (-7)^2-(-12*4*12)

DELTA = 625

DELTA > 0

x = (625^(1/2)+7)/(2*12) or x = (7-625^(1/2))/(2*12)

x = 4/3 or x = -3/4

x in { -3/4, 4/3} 

x in { -3/4, 4/3 }

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